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1132980 = 223523821
BaseRepresentation
bin100010100100110110100
32010120011020
410110212310
5242223410
640141140
712426102
oct4244664
92116136
101132980
11704252
124677b0
13308904
14216c72
15175a70
hex1149b4

1132980 has 48 divisors (see below), whose sum is σ = 3314304. Its totient is φ = 288640.

The previous prime is 1132979. The next prime is 1132987. The reversal of 1132980 is 892311.

It is a self number, because there is not a number n which added to its sum of digits gives 1132980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (69048).

21132980 is an apocalyptic number.

1132980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657152).

1132980 is an abundant number, since it is smaller than the sum of its proper divisors (2181324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132980 is a wasteful number, since it uses less digits than its factorization.

1132980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1132980 is about 1064.4153324713. The cubic root of 1132980 is about 104.2495241195.

It can be divided in two parts, 1132 and 980, that added together give a palindrome (2112).

The spelling of 1132980 in words is "one million, one hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 821 1380 1642 2463 3284 4105 4926 8210 9852 12315 16420 18883 24630 37766 49260 56649 75532 94415 113298 188830 226596 283245 377660 566490 1132980